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Miniversal deformations of observable marked matrices

Author
Compta, Albert; Ferrer, J.; Peña, M.
Type of activity
Report
Date
2012
Code
prepr201211ComFP
Repository
http://hdl.handle.net/2117/17869 Open in new window
URL
https://www.ma1.upc.edu/recerca/preprints/preprints-2012/preprint-2012 Open in new window
Abstract
Given the set of vertical pairs of matrices M¿ Mm,n(C)×Mn(C) keeping the subspace Cd×{0} ¿ Cn invariant, we compute miniversal deformations of a given pair when it is observable and the subspace Cd × {0} is marked. Moreover, we obtain the dimension of the orbit, characterize the structurally stable vertical pairs and study the effect of each deformation parameter.
Citation
Compta, A.; Ferrer, J.; Peña, M. "Miniversal deformations of observable marked matrices". 2012.
Keywords
Conditioned invariant subspaces, Miniversal deformation, Stratified manifold, Vertical pairs of matrices
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach

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